Finding the Third Proportional to 140,848 and 293,312

Step by Step Solution

1. Step 1: Write the proportion equation
   140,848 : 293,312 = 293,312 : x
2. Step 2: Convert to fraction form
   140,848/293,312 = 293,312/x
3. Step 3: Cross multiply
   140,848x = 293,312 × 293,312
4. Step 4: Simplify right side
   140,848x = 86,031,929,344
5. Step 5: Solve for x
   x = 86,031,929,344/140,848
6. Step 6: Final answer
   x = 610,813.99